On the inverse matrix of a fuzzy matrix
Department of Mathematics University of Latvia
Zeļļu street 8, Rīga LV-1084
We consider matrix with fuzzy elements (hereinafter – fuzzy matrix) and define algorithm of inverse matrix determination in this paper. The concept of regularity of a fuzzy matrix is introduced. It is proven in this paper that the inverse of a fuzzy matrix is a fuzzy matrix as well. The proofs of the main results are based on J. Rohn research work in the area of linear problems with inexact data.
 J. Rohn, „Finite Characterization of Some Linear Problems with Inexact Data", Abstracts of SCAN'2000/Interval'2000, Karlsruhe, Germany, September 19-22, 2000
 J. Rohn, “Inverse interval matrix", SIAM Journal on Numerical Analysis, 1993, Vol. 30, pp. 864-870
Acknowledgement This work was supported by project “PhD students and young researches support in the University of Latvia” financed by European Social Fund.